{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Index-Guided Modes in a Strip Waveguide"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial, we'll examine different ways in which we can excite and analyze waveguides that run along arbitrary axes. First, we'll try exciting the waveguide using a simple line source. We'll notice that the source excites multiple modes and doesn't couple very efficiently. Then, we'll try coupling using an `EigenModeSource`. We'll specify a `k` vector that points along the direction of the waveguide such that it solves for the correct fundamental mode and excites the waveguide correctly.\n",
    "\n",
    "By that same logic, we can use the mode decomposition feature with the oblique waveguids as well to extract the forward and backward propogation coefficients.\n",
    "\n",
    "Along the way, we'll visualize the fields using animation to ensure we are simulating what we expect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As usual, we'll first load our necesarry modules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using MPI version 3.1, 1 processes\n"
     ]
    }
   ],
   "source": [
    "import meep as mp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import Video"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we'll generate our simulation domain. We'll create a waveguide that is 1 $\\mu$ wide rotated by 20 degrees and with a permittivity of 12. Our simulation domain will be 2d, $14\\mu m \\times14\\mu m$.\n",
    "\n",
    "An oblique waveguide also leads to a breakdown in the PML. A simple workaround for mitigating the PML artifacts is to increase its length which is why the `thickness` has been doubled from 1 to 2.\n",
    "\n",
    "We'll use a narrow band line source that expands slightly wider than the waveguide itself (2 $\\mu m$) and ensure it has sufficient bandwidth (20% of the center frequency)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "resolution = 20  # pixels/μm\n",
    "\n",
    "cell_size = mp.Vector3(14, 14)\n",
    "\n",
    "pml_layers = [mp.PML(thickness=2)]\n",
    "\n",
    "# rotation angle (in degrees) of waveguide, counter clockwise (CCW) around z-axis\n",
    "rot_angle = np.radians(20)\n",
    "\n",
    "geometry = [\n",
    "    mp.Block(\n",
    "        center=mp.Vector3(),\n",
    "        size=mp.Vector3(mp.inf, 1, mp.inf),\n",
    "        e1=mp.Vector3(1).rotate(mp.Vector3(z=1), rot_angle),\n",
    "        e2=mp.Vector3(y=1).rotate(mp.Vector3(z=1), rot_angle),\n",
    "        material=mp.Medium(epsilon=12),\n",
    "    )\n",
    "]\n",
    "\n",
    "fsrc = 0.15  # frequency of eigenmode or constant-amplitude source\n",
    "\n",
    "sources = [\n",
    "    mp.Source(\n",
    "        src=mp.GaussianSource(fsrc, fwidth=0.2 * fsrc),\n",
    "        center=mp.Vector3(),\n",
    "        size=mp.Vector3(y=2),\n",
    "        component=mp.Ez,\n",
    "    )\n",
    "]\n",
    "\n",
    "sim = mp.Simulation(\n",
    "    cell_size=cell_size,\n",
    "    resolution=resolution,\n",
    "    boundary_layers=pml_layers,\n",
    "    sources=sources,\n",
    "    geometry=geometry,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll plot our simulation domain to ensure we coded everything correctly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------\n",
      "Initializing structure...\n",
      "     block, center = (0,0,0)\n",
      "          size (1e+20,1,1e+20)\n",
      "          axes (0.939693,0.34202,0), (-0.34202,0.939693,0), (0,0,1)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f = plt.figure(dpi=100)\n",
    "sim.plot2D(ax=f.gca())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we'll run the simulation for 50 timesteps _after_ the source stops. We'll be sure to record the fields every 1 timestep so we can animate a video."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Meep progress: 46.95/383.3333435058594 = 12.2% done in 4.0s, 28.7s to go\n",
      "Meep progress: 127.0/383.3333435058594 = 33.1% done in 8.0s, 16.2s to go\n",
      "Meep progress: 210.425/383.3333435058594 = 54.9% done in 12.0s, 9.9s to go\n",
      "Meep progress: 306.75/383.3333435058594 = 80.0% done in 16.0s, 4.0s to go\n",
      "Normalizing field data...\n",
      "run 0 finished at t = 383.35 (15334 timesteps)\n"
     ]
    }
   ],
   "source": [
    "f = plt.figure(dpi=100)\n",
    "animate = mp.Animate2D(mp.Ez, f=f, normalize=True)\n",
    "sim.run(mp.at_every(1, animate), until_after_sources=50)\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once the simulation finishes, we can output and visualize the animation within the notebook. Note that since we opted to normalize the fields, the simulation takes time to \"ramp up\" before any fields are visible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating MP4...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<video src=\"media/oblique-source-normal.mp4\" controls  >\n",
       "      Your browser does not support the <code>video</code> element.\n",
       "    </video>"
      ],
      "text/plain": [
       "<IPython.core.display.Video object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "filename = \"media/oblique-source-normal.mp4\"\n",
    "animate.to_mp4(10, filename)\n",
    "Video(filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, the waveguide is excited and propogates in _both_ directions. The mode weakly couples until it has time to propogate along the axis, which is not ideal for some applications.\n",
    "\n",
    "We'll now try exciting the waveguide with the `EigenModeSource`. To do so, we must supply `MPB` an initial `k` vector guess that it can use to determine the correct waveguide mode. We'll rotate the test vector, `kpoint` by the same amount that our waveguide is rotated.\n",
    "\n",
    "Determining the parity of the source depends on the desired mode to excite and the angle of the waveguide. For even modes that propogate along the x direction (i.e. `rot_angle=0`) we can leverage both `mp.EVEN_Y` and `mp.ODD_Z`. Once we start rotating the waveguide, however, the `mp.EVEN_Y` symmetry breaks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "kx = 0.4  # initial guess for wavevector in x-direction of eigenmode\n",
    "kpoint = mp.Vector3(kx).rotate(\n",
    "    mp.Vector3(z=1), rot_angle\n",
    ")  # Rotate the vector by the specified amount\n",
    "\n",
    "bnum = 1  # band number of eigenmode\n",
    "\n",
    "sources = [\n",
    "    mp.EigenModeSource(\n",
    "        src=mp.GaussianSource(fsrc, fwidth=0.2 * fsrc),\n",
    "        center=mp.Vector3(),\n",
    "        size=mp.Vector3(y=14),\n",
    "        direction=mp.NO_DIRECTION,\n",
    "        eig_kpoint=kpoint,\n",
    "        eig_band=bnum,\n",
    "        eig_parity=mp.EVEN_Y + mp.ODD_Z if rot_angle == 0 else mp.ODD_Z,\n",
    "        eig_match_freq=True,\n",
    "    )\n",
    "]\n",
    "\n",
    "sim = mp.Simulation(\n",
    "    cell_size=cell_size,\n",
    "    resolution=resolution,\n",
    "    boundary_layers=pml_layers,\n",
    "    sources=sources,\n",
    "    geometry=geometry,\n",
    "    symmetries=[mp.Mirror(mp.Y)] if rot_angle == 0 else [],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that in `EigenModeSource` the direction property must be set to `NO_DIRECTION` for a non-zero `eig_kpoint` which specifies the waveguide axis.\n",
    "\n",
    "As before, we'll animate the fields to see how this approach differs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------\n",
      "Initializing structure...\n",
      "     block, center = (0,0,0)\n",
      "          size (1e+20,1,1e+20)\n",
      "          axes (0.939693,0.34202,0), (-0.34202,0.939693,0), (0,0,1)\n",
      "Meep progress: 51.475/383.3333435058594 = 13.4% done in 4.0s, 25.8s to go\n",
      "Meep progress: 125.7/383.3333435058594 = 32.8% done in 8.0s, 16.4s to go\n",
      "Meep progress: 196.625/383.3333435058594 = 51.3% done in 12.0s, 11.4s to go\n",
      "Meep progress: 275.02500000000003/383.3333435058594 = 71.7% done in 16.0s, 6.3s to go\n",
      "Meep progress: 351.475/383.3333435058594 = 91.7% done in 20.0s, 1.8s to go\n",
      "Normalizing field data...\n",
      "run 0 finished at t = 383.35 (15334 timesteps)\n"
     ]
    }
   ],
   "source": [
    "f = plt.figure(dpi=100)\n",
    "animate = mp.Animate2D(mp.Ez, f=f, normalize=True)\n",
    "sim.run(mp.at_every(1, animate), until_after_sources=50)\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating MP4...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<video src=\"media/oblique-source-eig.mp4\" controls  >\n",
       "      Your browser does not support the <code>video</code> element.\n",
       "    </video>"
      ],
      "text/plain": [
       "<IPython.core.display.Video object>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "filename = \"media/oblique-source-eig.mp4\"\n",
    "animate.to_mp4(10, filename)\n",
    "Video(filename)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once again, we need to wait for the fields to ramp up. This time, however, we see that the source only propogates in _one_ direction, and a _single_ waveguide mode is clearly visible."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we demonstrate that the total power in a waveguide with arbitrary orientation — computed using _two_ equivalent methods via `get_fluxes` and mode decomposition — can be computed by a single flux plane oriented along the $y$ direction: thanks to Poynting's theorem, the flux through any plane crossing a lossless waveguide is the same, regardless of whether the plane is oriented perpendicular to the waveguide. Furthermore, the eigenmode source is normalized in such a way as to produce the same power regardless of the waveguide orientation.\n",
    "\n",
    "We'll perform a similar simulation as above for a waveguide oriented at 0°, 20°, and 40°. We'll measure the flux using both `get_fluxes` and `get_eigenmode_coefficients` and compare the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------\n",
      "Initializing structure...\n",
      "     block, center = (0,0,0)\n",
      "          size (1e+20,1,1e+20)\n",
      "          axes (1,0,0), (0,1,0), (0,0,1)\n",
      "Meep progress: 84.72500000000001/383.3333435058594 = 22.1% done in 4.0s, 14.1s to go\n",
      "Meep progress: 180.65/383.3333435058594 = 47.1% done in 8.0s, 9.0s to go\n",
      "Meep progress: 286.125/383.3333435058594 = 74.6% done in 12.0s, 4.1s to go\n",
      "run 0 finished at t = 383.35 (15334 timesteps)\n",
      "flux:, 1091.653061, 941.670245\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------\n",
      "Initializing structure...\n",
      "     block, center = (0,0,0)\n",
      "          size (1e+20,1,1e+20)\n",
      "          axes (0.939693,0.34202,0), (-0.34202,0.939693,0), (0,0,1)\n",
      "Meep progress: 107.4/383.3333435058594 = 28.0% done in 4.0s, 10.3s to go\n",
      "Meep progress: 214.875/383.3333435058594 = 56.1% done in 8.0s, 6.3s to go\n",
      "Meep progress: 323.375/383.3333435058594 = 84.4% done in 12.0s, 2.2s to go\n",
      "run 0 finished at t = 383.35 (15334 timesteps)\n",
      "flux:, 1110.194293, 1111.953628\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------\n",
      "Initializing structure...\n",
      "     block, center = (0,0,0)\n",
      "          size (1e+20,1,1e+20)\n",
      "          axes (0.766044,0.642788,0), (-0.642788,0.766044,0), (0,0,1)\n",
      "Meep progress: 107.575/383.3333435058594 = 28.1% done in 4.0s, 10.3s to go\n",
      "Meep progress: 207.60000000000002/383.3333435058594 = 54.2% done in 8.0s, 6.8s to go\n",
      "Meep progress: 309.625/383.3333435058594 = 80.8% done in 12.0s, 2.9s to go\n",
      "run 0 finished at t = 383.35 (15334 timesteps)\n",
      "flux:, 1087.626286, 1041.967491\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for rot_angle in np.radians([0, 20, 40]):\n",
    "\n",
    "    resolution = 20\n",
    "\n",
    "    geometry = [\n",
    "        mp.Block(\n",
    "            center=mp.Vector3(),\n",
    "            size=mp.Vector3(mp.inf, 1, mp.inf),\n",
    "            e1=mp.Vector3(1).rotate(mp.Vector3(z=1), rot_angle),\n",
    "            e2=mp.Vector3(y=1).rotate(mp.Vector3(z=1), rot_angle),\n",
    "            material=mp.Medium(epsilon=12),\n",
    "        )\n",
    "    ]\n",
    "\n",
    "    sources = [\n",
    "        mp.EigenModeSource(\n",
    "            src=mp.GaussianSource(fsrc, fwidth=0.2 * fsrc),\n",
    "            center=mp.Vector3(),\n",
    "            size=mp.Vector3(y=14),\n",
    "            direction=mp.NO_DIRECTION,\n",
    "            eig_kpoint=kpoint,\n",
    "            eig_band=bnum,\n",
    "            eig_parity=mp.ODD_Z,\n",
    "            eig_match_freq=True,\n",
    "        )\n",
    "    ]\n",
    "\n",
    "    sim = mp.Simulation(\n",
    "        cell_size=cell_size,\n",
    "        resolution=resolution,\n",
    "        boundary_layers=pml_layers,\n",
    "        sources=sources,\n",
    "        geometry=geometry,\n",
    "    )\n",
    "\n",
    "    tran = sim.add_flux(\n",
    "        fsrc, 0, 1, mp.FluxRegion(center=mp.Vector3(x=5), size=mp.Vector3(y=14))\n",
    "    )\n",
    "    sim.run(until_after_sources=50)\n",
    "    res = sim.get_eigenmode_coefficients(\n",
    "        tran,\n",
    "        [1],\n",
    "        eig_parity=mp.EVEN_Y + mp.ODD_Z if rot_angle == 0 else mp.ODD_Z,\n",
    "        direction=mp.NO_DIRECTION,\n",
    "        kpoint_func=lambda f, n: kpoint,\n",
    "    )\n",
    "    print(\n",
    "        \"flux:, {:.6f}, {:.6f}\".format(\n",
    "            mp.get_fluxes(tran)[0], abs(res.alpha[0, 0, 0]) ** 2\n",
    "        )\n",
    "    )\n",
    "\n",
    "    sim.plot2D(fields=mp.Ez)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The flux values and measured power from `get_eigenmode_coefficients` are all close to each other well, within the discretization error. \n",
    "\n",
    "Note that the Poynting flux could have been normalized to unity by setting the EigenModeSource/Source object parameter amplitude=1/src.fourier_transform(fsrc) where fsrc=0.15 and src=mp.GaussianSource(fsrc,fwidth=0.2*fsrc)."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
